Question

Doesthepoint(4, –5)satisfytheinequality19x + 18y < –14?

Answer 1

To determine if the point (4, -5) satisfies the inequality \( 19x + 18y < -14 \), we will substitute \( x = 4 \) and \( y = -5 \) into the inequality.

Let's calculate:

\[
19(4) + 18(-5)
\]

First, calculate \( 19(4) \):

\[
19 \times 4 = 76
\]

Next, calculate \( 18(-5) \):

\[
18 \times -5 = -90
\]

Now combine these results:

\[
76 - 90 = -14
\]

Now we need to check if this value satisfies the inequality:

\[
-14 < -14
\]

This statement is false. Therefore, the point \( (4, -5) \) does not satisfy the inequality \( 19x + 18y < -14 \).